is hence given

USAGE SUMMARY

The phrase "is hence given" is correct and usable in written English.
It can be used to indicate that something is provided or presented as a result of a previous statement or reasoning. Example: "The solution to the equation is hence given as x = 5."

✓ Grammatically correct

Science

Human-verified examples from authoritative sources

Exact Expressions

7 human-written examples

The total transmission is hence given by (13).

Nanoscale Research Letters

The growth of X s is hence given approximately by.

Journal of Cheminformatics

The maximum diversity of MIMO fading channels with separable spatial correlation is hence given by begin{array}rcl@ text{rank}left({{{boldsymbol R}}} right) = text{rank}left({{{boldsymbol R}^{boldsymbol {N_{t}}} }} right)text{rank}left({{{boldsymbol R}^{boldsymbol {N_{r}}} }} right), end{array} (76).

EURASIP Journal on Wireless Communications and Networking

The variance of the fluctuations of species j is hence given by the jth diagonal element of H.

BMC Systems Biology

A cell's preferred movement vector is hence given by \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\vec S_{0k}} = {{\vec m}_k}/\eta $$\end{documentt}.

Biological Cybernetics

The explicit form is hence given as the infinite mixture G = ∑ i =1∞ π i δθ i with the mixing rates, π i ≥ 0 and ∑ i = 1∞ π i = 1.

Bioinformatics

Human-verified similar examples from authoritative sources

Similar Expressions

52 human-written examples

All cases are hence given in the above proposition.

EURASIP Journal on Advances in Signal Processing

Total private job separations are, hence, given by (s_t^p=s^x+ 1-s^x)s_t^p=s^x+ 1-s^x

SERIEs

This captured the immediate interest of the researcher, and more attention was hence given to Internet use during data collection and analysis.

The Journal of Chinese Sociology

The corresponding binary variables ĉ and c are hence given as: ĉ ( a, s ) ( t ) = 1 if STA s is connecting to AP a in slot t 0 otherwise (11).

EURASIP Journal on Wireless Communications and Networking

The protein disease associations from Uniprot and GHR are unscored and are hence given a score of 1 such as to be used with our scoring schemes.

Bioinformatics

Expert writing Tips

Best practice

When using "is hence given", ensure that the causal relationship between the preceding statement and what is being 'given' is clear and logical to maintain the flow of your argument.

Common error

Avoid using "is hence given" in casual writing, as it can sound overly formal or stilted. Opt for simpler alternatives like "therefore" or "so" to maintain a natural tone.

Linguistic Context

The phrase "is hence given" functions as a causal connector, linking a preceding statement or condition to a subsequent result or provision. Ludwig examples show it frequently introducing formulas or conclusions.

Expression frequency: Common

Frequent in

Science

100%

Less common in

News & Media

0%

Formal & Business

0%

Encyclopedias

0%

Ludwig's WRAP-UP

The phrase "is hence given" serves as a formal connector, primarily used to establish a cause-and-effect relationship within scientific and technical contexts. Ludwig AI confirms its grammatical correctness and suitability for formal writing. When incorporating this phrase, ensure clarity and logical flow, and consider alternatives like "is therefore provided" or "is thus presented" to avoid repetition. Its frequency is relatively common, mostly in Science based contexts.

More alternative expressions

Phrases that express similar concepts, ordered by semantic similarity:

is therefore provided

Replaces "hence" with "therefore", emphasizing a direct causal relationship.

is thus presented

Substitutes "hence given" with "thus presented", changing the phrasing while keeping the meaning of a result being shown.

is consequently derived

Replaces "hence given" with "consequently derived", focusing on the origin of something from a prior action.

is accordingly assigned

Changes "given" to "assigned", indicating a decision based on previous information.

is subsequently offered

Replaces "hence" with "subsequently", implying a time sequence where something is offered after a prior event.

is then specified

Replaces "hence given" with "then specified", highlighting a clear definition or specification following from something.

is for that reason imparted

Substitutes with a more formal tone, emphasizing the cause and effect relationship leading to the imparting of something.

is wherefore bestowed

Uses archaic language to indicate something being granted or conferred as a result of previous circumstances.

is on account of this rendered

Emphasizes the causal link by stating that something is rendered or made in a certain way due to a preceding cause.

is as a result furnished

Focuses on the outcome of providing something as a direct consequence of a preceding action or condition.

FAQs

How can I use "is hence given" in a sentence?

The phrase "is hence given" indicates that something is provided or presented as a result of a previous statement or reasoning. For example: "The formula for calculating the area is complex; the simplified version "is hence given" as A = lw."

What are some alternatives to "is hence given"?

You can use alternatives like "is therefore provided", "is thus presented", or "is consequently derived" depending on the specific context and the nuance you want to convey.

Is it correct to use "is hence given" in formal writing?

Yes, "is hence given" is suitable for formal writing, especially in scientific, technical, or academic contexts where a clear causal relationship needs to be established. However, avoid overusing it to prevent the writing from sounding too stiff.

What is the difference between "is hence given" and "is therefore given"?

While both phrases indicate a causal relationship, "is hence given" often implies a more direct and immediate consequence than "is therefore given". The choice between them depends on the specific nuance you wish to convey in your writing.